Ambiguities of the Seiberg-Witten Map in the Presence of Matter Field

摘要

The ambiguities of the Sciberg Witten map for gauge field coupled with fermionic matter arc discuessed.We find that only part of the ambiguities can be absorbed by gauge transformation and/or field redefinition and thusare negligible. The existence of matter field makes some other part of the ambiguities difficult to be absorbed by gaugetransformation or field redefinition.